Abstract
The main purpose of this paper is to find conditions for Hölder calmness of the solution mapping, viewed as a function of the boundary data, of a hemivariational inequality governed by the Navier-Stokes operator. To this end, a more abstract model is studied first: a class of parametric equilibrium problems defined by trifunctions. The presence of trifunctions allows the extension of the monotonicity notions in the theory of equilibrium problems.
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The authors wish to thank the reviewers for the valuable remarks that helped to improve the paper.
Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
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Inoan, D., Kolumbán, J. Calmness of the Solution Mapping of Navier-Stokes Problems Modeled by Hemivariational Inequalities. Set-Valued Var. Anal 30, 1089–1104 (2022). https://doi.org/10.1007/s11228-022-00636-1
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DOI: https://doi.org/10.1007/s11228-022-00636-1
Keywords
- Navier-Stokes equation
- Calmness
- Parametric equilibrium problems with trifunctions
- Hemi-variational inequalities